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非线性振动系统的频率俘获特性

Characteristics of Frequency Capture of Nonlinear Vibration Systems

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【作者】 张楠侯晓林闻邦椿

【Author】 ZHANG Nan1,HOU Xiao-lin2,WEN Bang-chun1(1.School of Mechanical Engineering & Automation,Northeastern University,Shenyang 110004,China;2.Capital Engineering & Research Incorporation Ltd.,Beijing 100176,China.)

【机构】 东北大学机械工程与自动化学院中冶京诚工程技术有限公司

【摘要】 基于一个简化的自同步机械系统力学模型,分析了系统阻尼对非理想系统稳态转速的影响.在简化模型中,系统阻尼由两部分组成:在垂直方向上的移动阻尼和偏心转子的回转阻尼.分别改变移动阻尼和回转阻尼,得到不同条件下系统的响应曲线和频谱图,并分别得到移动阻尼分段变化时系统的高次谐波频率俘获区域图和回转阻尼分段变化时系统的次谐波频率俘获区域图.研究表明:若移动阻尼适当,系统将发生高次谐波频率俘获行为;若回转阻尼适当,系统将发生次谐波频率俘获行为.

【Abstract】 Based on a simplified model of a self-synchronous mechanical system,the influence of system damping on the steady-state rotational speed of non-ideal system is analyzed,including vertically translating damping and eccentric rotor’s rotary damping.Changing both dampings separately,the system responses and frequency spectra are obtained on different conditions,as well as the capture regions of high-order harmonic frequency and subharmonic frequency because of the piecewise change in translating damping and in rotary damping,respectively.It is revealed that the capture of high-order harmonic frequency occurs if the translating damping value is appropriate,and that of subharmonic frequency occurs if the rotary damping value is appropriate.

【基金】 国家自然科学基金资助项目(50535010)
  • 【文献出处】 东北大学学报(自然科学版) ,Journal of Northeastern University(Natural Science) , 编辑部邮箱 ,2009年08期
  • 【分类号】TH113.1
  • 【被引频次】5
  • 【下载频次】288
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